The USDJPY spot price is 115.018 and the one month forward is 115.046. A one month expiration European style call option with a strike price of 115.046 is trading at 4¥ and a put option with the same parameters is trading at 5¥. If we purchase the call and sell the put sketch the payoff of this position at expiry over the range 114.900 to 115.140. If we were going to hedge an exposure to the Yen should we use the option position or the forward? Justify your answe

The USDJPY spot price is 115.018 and the one month forward is 115.046. A one month expiration European style call option with a strike price of 115.046 is trading at 4¥ and a put option with the same parameters is trading at 5¥. If we purchase the call and sell the put sketch the payoff of this position at expiry over the range 114.900 to 115.140. If we were going to hedge an exposure to the Yen should we use the option position or the forward? Justify your answe

International Financial Management

14th Edition

ISBN:9780357130698

Author:Madura

Publisher:Madura

Chapter5: Currency Derivatives

Section: Chapter Questions

Problem 5ST

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You are considering a European put option and a European call option on ABC Ltd and have available the following information. The put option with an exercise price of $15 and time to maturity of 60 days is priced at $2.00. The call option with the same exercise price and time to maturity is priced at $3.00. The underlying asset price is $15. The risk-free rate is 2% per 60 days. Could an arbitrage profit be earned? If so, how much the arbitrage profit is? Show your works (Hint: use discrete put-call parity equation and consider two scenarios for stock price at maturity of the options: $10 or $20).
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Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset.
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Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33. A. Using the Black model, calculate the price of a call option on a forward contract. B. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset. Should this pricing be any different from the one calculated in letter A? Explain your answer. C. Using the Black model, calculate the price of a put option on a forward contract. D. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset. Should this pricing be any different from the one calculated in letter C? Explain your answer.
Assume that the price of a forward contract is 127.87. The European options on the forward contract has an exercise price $150, expiring in 60 days. 3.75% is the continuously compounded risk-free rate, and volatility is 0.33.A. Using the Black model, calculate the price of a call option on a forward contract.B. Calculate the underlying asset's price. Using the Black-Scholes-Merton model, determine the price of a call option on the underlying asset. Should this pricing be any different from the one calculated in letter A? Explain your answer.C. Using the Black model, calculate the price of a put option on a forward contract.D. Using the Black-Scholes-Merton model, compute the price of a put option on the underlying asset. Should this pricing be any different from the one calculated in letter C? Explain your answer.